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Finding the Fourth Proportional to 318,941.40, 478,412.10 and 213,187.80

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Solution

The fourth proportional to 318,941.40, 478,412.10 and 213,187.80 is: 319,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,941.40 : 478,412.10 = 213,187.80 : x
  2. Step 2: Convert to fraction form
    318,941.40/478,412.10 = 213,187.80/x
  3. Step 3: Cross multiply
    318,941.40x = 478,412.10 × 213,187.80
  4. Step 4: Simplify right side
    318,941.40x = 101,991,623,092.38
  5. Step 5: Solve for x
    x = 101,991,623,092.38/318,941.40
  6. Step 6: Final answer
    x = 319,781.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.